GaloisGroupUtilities RΒΆ

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GaloisGroupUtilities provides several useful functions.

fillPascalTriangle: () -> Void
fillPascalTriangle() fills the stored table.
pascalTriangle: (NonNegativeInteger, Integer) -> R
pascalTriangle(n, r) returns the binomial coefficient C(n, r)=n!/(r! (n-r)!) and stores it in a table to prevent recomputation.
rangePascalTriangle: () -> NonNegativeInteger
rangePascalTriangle() returns the maximal number of lines stored.
rangePascalTriangle: NonNegativeInteger -> NonNegativeInteger
rangePascalTriangle(n) sets the maximal number of lines which are stored and returns the previous value.
safeCeiling: R -> Integer if R has FloatingPointSystem
safeCeiling(x) returns the integer which is greater than any integer with the same floating point number representation.
safeFloor: R -> Integer if R has FloatingPointSystem
safeFloor(x) returns the integer which is lower or equal to the largest integer which has the same floating point number representation.
safetyMargin: () -> NonNegativeInteger if R has FloatingPointSystem
safetyMargin() returns the number of low weight digits we do not trust in the floating point representation (used by safeCeiling).
safetyMargin: NonNegativeInteger -> NonNegativeInteger if R has FloatingPointSystem
safetyMargin(n) sets to n the number of low weight digits we do not trust in the floating point representation and returns the previous value (for use by safeCeiling).
sizePascalTriangle: () -> NonNegativeInteger
sizePascalTriangle() returns the number of entries currently stored in the table.